A phase field model with plastic history field for fracture of elasto-plastic materials

Shi, Qianyu; Yu, Hongjun; Guo, Licheng; Hao, Liulei; Huang, Kai

doi:10.1016/j.engfracmech.2022.108447

Cited by 21 publications

(5 citation statements)

References 51 publications

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“…The CPS4R elements were used around the crack front. Further, Shi et al [16] proposed a plastic history field to perform the energy decomposition at the crack front. Figure 2 shows the stress field near a crack point.…”

Section: Stress Fields and Modelling Elementsmentioning

confidence: 99%

Numerical study of a centred crack on an elastoplastic material by the FEM method

Bentahar

2023

tribomat

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The numerical study of crack propagation is a very complex and important problem for knowing the lifetime of a structure. Nowadays, the modelling of crack propagation by various numerical methods plays a beneficial part in solving problems in fracture mechanics. Significantly used in biomechanics, biomaterials and structural calculation, it also makes it possible to deal with certain problems of fatigue of materials. In this article, a numerical study based on the finite element method (FEM) was used for a two-dimensional model, of an elastoplastic material, containing a central crack. The article is also based on the study of different cracking factors, such as stress intensity factors KI and KII, J-integral and strain energy. On the other hand, the contrast of these parameters was precisely centred on the five contours of the crack front. In addition, Abaqus computer code was used to obtain different results, moreover, CPS4R elements were used for modelling.

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Section: Stress Fields and Modelling Elementsmentioning

confidence: 99%

Numerical study of a centred crack on an elastoplastic material by the FEM method

Bentahar

2023

tribomat

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“…The simulation result of an asymmetric notched plate model is shown in Figure 5. To ensure that the compressive plastic energy does not contribute to crack formation in elastoplastic materials, Shi et al [19] established a plastic history field and presented an alternate elastic energy decomposition technique. The model can eliminate the fictitious propagation of compression cracks and predict the results closer to the experimental observations.…”

Section: Macroscale Ductile Fracturementioning

confidence: 99%

“…In the past few years, researchers have made many efforts to develop phase field methods for fatigue crack growth, and considerable progress has been made [14][15][16][17]. Phase field methods are widely applied to reproduce fatigue fracture behaviors, such as brittle [18], ductile [19], hyperelastic [20], and corrosion [21] fracture. Complex loading conditions, such as mechanical [22], thermal [23], and chemical [24] loads, as well as their interactions, are commonly the root cause of these fatigue failure issues.…”

Section: Introductionmentioning

confidence: 99%

Applications of Phase Field Methods in Modeling Fatigue Fracture and Performance Improvement Strategies: A Review

Cui

Zhang

2023

Metals

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Fatigue fracture simulation based on phase field methods is a promising numerical approach. As a typical continuum approach, phase field methods can naturally simulate complex fatigue fracture behavior. Moreover, the cracking is a natural result of the simulation without additional fracture criterion. This study first introduced the phase field fracture principle, then reviewed some recent advances in phase field methods for fatigue fracture modeling, and gave representative examples in macroscale, microscale, and multiscale structural simulations. In addition, some strategies to improve the performance of phase field models were summarized from different perspectives. The applications of phase field methods to fatigue failure demonstrate the ability to handle complex fracture behaviors under multiple loading forms and their interactions, and the methods have great potential for development. Finally, an outlook was made in four aspects: loading form, fatigue degradation criterion, coupled crystal plasticity, and performance improvement.

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“…Francfort and Marigo [17] proposed a variational approach to overcome this problem, and then Bourdin [18] regularized this approach. Moreover, the extension to fracture simulations in inelastic materials, such as elasto-plastic materials [1,5,10,14,19] viscoelastic materials [20][21][22][23][24] and viscoplastic materials [23,[25][26][27] has been studied. Dammaß et al [25] proposed a unified fracture phase field model for viscoelastic materials via two-way coupling between phase field and relaxation mechanisms.…”

Section: Introductionmentioning

confidence: 99%

Phase Field Modeling of Crack Growth with Viscoplasticity

Shi

Wang

et al. 2023

Crystals

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The fracture of viscoplastic materials is a complex process due to its time-dependent and plastic responses. Numerical simulation for fractures plays a significant role in crack prediction and failure analysis. In recent years, the phase field model has become a competitive approach to predict crack growth and has been extended to inelastic materials, such as elasto-plastic, viscoelastic and viscoplastic materials, etc. However, the contribution of inelastic energy to crack growth is seldom studied. For this reason, we implement the fracture phase field model coupled with a viscoplastic constitutive in a finite element framework, in which the elastic energy and inelastic energy are used as crack driving forces. The implicit algorithm for a viscoplastic constitutive is presented; this procedure is suitable for other viscoplastic constitutive relations. The strain rate effect, creep effect, stress relaxation effect and cyclic loading responses are tested using a single-element model with different inelastic energy contributions. A titanium alloy plate specimen and a stainless-steel plate specimen under tension are studied and compared with the experimental observations in the existing literature. The results show that the above typical damage phenomenon and fracture process can be well reproduced. The inelastic energy significantly accelerates the evolution of the phase field of viscoplastic materials. For cyclic loadings, the acceleration effect for low frequency is more significant than for high frequency. The influence of the weight factor of inelastic energy β on the force-displacement curve mainly occurs after reaching the maximum force point. With the increase of β, the force drops faster in the force-displacement curve. The inelastic energy has a slight effect on the crack growth paths.

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A phase field model with plastic history field for fracture of elasto-plastic materials

Cited by 21 publications

References 51 publications

Numerical study of a centred crack on an elastoplastic material by the FEM method

Numerical study of a centred crack on an elastoplastic material by the FEM method

Applications of Phase Field Methods in Modeling Fatigue Fracture and Performance Improvement Strategies: A Review

Phase Field Modeling of Crack Growth with Viscoplasticity

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